Literal Equation?

Question

Solve problems. Show work please.

1.) 2/w=x/5; solve for w

2.) 5d-2g=9; solve for g

3.) y=mx+b; solve for x

Answer 1

Question 1
10 = wx
w = 10 / x
Question 2
5d - 9 = 2g
g = (5d - 9) / 2
Question 3
mx = y - b
x = (1/m) (y - b)

Answer 2

1) cross multiply: wx = 10
then divide by x: w = 10/x

2) subtract 5d from both sides: -2g = -5d + 9
divide by -2: g = 5d - 9/2

3) subtract b from both sides: y-b = mx
divide by m: y-b/m = x